5788800 has 192 divisors, whose sum is σ = 21501600. Its totient is φ = 1520640.

The previous prime is 5788793. The next prime is 5788817. The reversal of 5788800 is 88875.

5788800 is a `hidden beast` number, since 578 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86367 + ... + 86433.

Almost surely, 2^5788800 is an apocalyptic number.

5788800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10750800).

5788800 is an abundant number, since it is smaller than the sum of its proper divisors (15712800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5788800 is a wasteful number, since it uses less digits than its factorization.

5788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 5788800 is about 2405.9925186916. The cubic root of 5788800 is about 179.5544536234.

Adding to 5788800 its sum of digits (36), we get a square (5788836 = 2406²).

The spelling of 5788800 in words is "five million, seven hundred eighty-eight thousand, eight hundred".